Evaluate
\left(6-x\right)\left(x+8\right)
Expand
48-2x-x^{2}
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49-\left(1+2x+x^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+x\right)^{2}.
49-1-2x-x^{2}
To find the opposite of 1+2x+x^{2}, find the opposite of each term.
48-2x-x^{2}
Subtract 1 from 49 to get 48.
49-\left(1+2x+x^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+x\right)^{2}.
49-1-2x-x^{2}
To find the opposite of 1+2x+x^{2}, find the opposite of each term.
48-2x-x^{2}
Subtract 1 from 49 to get 48.
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